Prime p₀= 2039173567137633497 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 10 2 28 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 102 104 114 116 174 176
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 176
Found by: meadoel
db: batch=80, k=12, 2 58 2 10 2 28

STPT(12)	2039171559723383339	0 2 18 20 42 44 48 50 72 74 90 92	-2007414250158
STPT(10)	2039171833267842587	0 2 30 32 72 74 114 116 144 146	-1733869790910
SPT(16)	2039171924871830807	0 14 32 36 42 80 102 122 144 164 186 224 230 234 252 266	-1642265802690
STPT(10)	2039172072891977159	0 2 42 44 90 92 138 140 180 182	-1494245656338
STPT(10)	2039172115222483061	0 2 6 8 18 20 30 32 36 38	-1451915150436
STPT(10)	2039172460045006787	0 2 54 56 72 74 90 92 144 146	-1107092626710
SPT(16)	2039174050591095337	0 6 24 100 132 160 174 216 310 352 366 394 426 502 520 526	483453461840
STPT(10)	2039174204209713551	0 2 78 80 138 140 198 200 276 278	637072080054
SPT(16)	2039174359298663593	0 6 40 48 66 108 114 138 196 220 226 268 286 294 328 334	792161030096
SPT(16)	2039174405806000739	0 30 38 50 68 72 78 138 194 254 260 264 282 294 302 332	838668367242
TPT(14)	2039174642598778667	0 2 54 56 90 92 204 206 210 212 222 224 264 266	1075461145170